if a price of a book is reduced by RS 5 ,a person can buy 4more books for RS 600. find the original price of the book
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let the original price be x so,
600/x-5. - 600/x=4
600x-600x+3000/x2-5x=4
3000/x2-5x=4
3000=4(x^2-5x)
3000=4x^2-20x
4x2-20x-3000=0
x^2-5x-750=0
x^2-30x+25x-750=0
x(x-30)+25(x-30)=0
(x+25)(x-30)=0
x=30,-25
price cannot be negative
so 30
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